Solve for X: 39 - 7x = - 4 (7x + 7) = 4

Subtract 39 from both sides

-7x = - 4 - 39

Simplify - 4 - 39 to - 43

-7x = - 43

Divide both sides by - 7

x = - 43/-7

Two negative make a positive

x = 43/7

For the second equation;

Simplify brackets

7x + 7 = 4

Subtract 7 from both sides

7x = 4 - 7

Simplify 4 - 7 to - 3

7x = - 3

Divide both sides by 7

x = - 3/7

Simplifying

39 + - 7x = - 4 (7x + 7) + 4

Reorder terms

39 + - 7x = - 4 (7 + 7x) + 4

39 + - 7x = (7 * - 4 + 7x * - 4) + 4

39 + - 7x = (-28 + - 28x) + 4

Reorder the terms

39 + - 7x = - 28 + 4 + - 28x

Combine like terms - 28 + 4 = - 24

39 + - 7x = - 24 + - 28x

Solving

39 + - 7x = - 24 + - 28x

Solve for variable x all terms x left, all others right.

Add '28x' to each side of the equation.

39 + - 7x + 28x = - 24 + - 28x + 28x

Combine like terms - 7x + 28x = 21x

39 + 21x = - 24 + - 28x + 28x

Combine like terms - 28x + 28x = 0

39 + 21x = - 24 + 0

39 + 21x = - 24

Add '-39' to each side of the equation.

39 + - 39 + 21x = - 24 + - 39

Combine like terms: 39 + - 39 = 0

0 + 21x = - 24 + - 39

21x = - 24 + - 39

Combine like terms - 24 + - 39 = - 63

21x = - 63

Divide each side by 21

x = - 3

Simplifying

x = - 3